Stable homotopy theory：Voevodsky还有一个很重要的工作就是发展了motivic stable homotopy theory给algebrai...
还有关于motivic homotopy theory的overview；May的Stable algebriac topology，1945-1960）。言归正传，我...
M. Robalo, Noncommutative Motives I: A Universal Characterization of the Motivic Stable Homotopy Theory of Schemes, 2013, arXiv:1206.3645 [math.AG]Robalo, Marco. Noncommutative motives I: A universal characterization of the motivic stable homotopy theory of schemes. Preprint, 2012. arXiv:...
0. By this we mean the category of P 1 -motivic spectra, Bousfield localized at the push- forward of the Moore spectrum MZ/2. This is, in some sense, the part of motivic stable homotopy theory which is the closest to ordinary topology, although even here, the theory one obtains,...
The aim of this postdoctoral project is to perform research and aid in the supervision of graduate students within the program “Topology in Norway”. The successful candidate will join one of the teams working on various aspects of algebraic topology, including stable homotopy theory, manifold topo...
The aim of this work is to construct certain homotopy t-structures on various categories of motivic homotopy theory, extending works of Voevodsky, Morel, D\'eglise and Ayoub. We prove these $t$-structures possess many good properties, some analogous to that of the perverse $t$-structure. We...
Remarks on motivic homotopy theory over algebraically closed fields We discuss certain calculations in the 2-complete motivic stable homotopy category over an algebraically closed field of characteristic 0. Specifically, we... P Hu,I Kriz,K Ormsby - Journal of K-theory K-theory and its Applicati...
N. P. Strickland, Axiomatic stable homotopy, Axiomatic, enriched and motivic homotopy theory, 69-98, NATO Sci. Ser. II Math. Phys. Chem., 131, ... NP Strickland 被引量: 44发表: 2003年 Generalised Sheaf Cohomology Theories In Axiomatic, enriched and motivic homotopy theory, volume 131 -...
The Bott inverted infinite projective space is homotopy algebraic K-theory We show a motivic stable weak equivalence between the Bott inverted infinite projective space and homotopy algebraic K-theory. S Markus,Østvær Paul Arne - 《Bulletin of the London Mathematical Society》 被引量: 55发表...
Theorem 1.1 Algebraic K -theory KGL acquires a unique E∞ structure refining its multiplication in the motivic stable homotopy category. While the existence of an E∞ structure on KGL is known thanks to the Bott inverted model for algebraic K -theory, see [4,18,19], the analogous existence...